Here is the full list of all 50 Raging Justice trophies - there are 42 bronze, 5 silver, 2 gold and 1 platinum.
KO 50 thugs with a sword
Arrest 100 thugs
Eat 20 Burgers at the "Abandoned Pier" and finished the stage
KO at least one thug with each type of weapon
Run over 75 thugs with the tractor
KO a boss with the trashcan
KO 50 thugs with a wrench
KO 50 thugs with a sledgehammer
KO 50 thugs with a baseball bat
Run over 75 thugs with the lawnmower
Destroy 10 phone boxes
KO a thug using a rat
Complete "Upper Mansion"
Complete "Lower Mansion"
KO 50 thugs with a knife
Complete "Mansion Gardens"
Destroy the two lawnmowers without riding them and finish the stage
Complete "Big Top"
KO the TNT thug by knocking his own dynamite back at him
Complete "Abandoned Pier"
Complete "Junkyard"
Complete "Back Alley"
Complete "Makin's Bar"
Complete "The Streets"
Collect at least $10,000 on the "Streets" in a single play and complete the stage
All Trophies Aquired! You are the Ultimate Raging Justice!
Complete the game without using a credit, on any difficulty
Complete a stage with low health, no lives, and no continues remaining
Complete the game with a Bad Cop Rating on all stages
Complete all challenges on "Mansion Lower" on Insane difficulty
Complete the game in co-op play on Brutal or Above difficulty
Complete the game on Insane with a Good Cop rating on ALL stages
Complete all challenges on "Big Top" on Insane difficulty
Complete all challenges on all stages at all difficulty levels
Arrested all arrestable thugs on a stage
Complete all challenges on "Mansion Upper" on Insane difficulty
Complete a stage without taking any damage
KO partner in co-op while trying to defeat a boss
Complete all challenges on "Mansion Gardens" on Insane difficulty
Complete all challenges on "Back Alley" on Insane difficulty
Complete all challenges on "Junkyard" on Insane difficulty
Smash the aquarium and knock over 10 thugs
Complete all challenges on "The Streets" on Insane difficulty
Complete all stages on Brutal difficulty
Complete all challenges on "Abandoned Pier" on Insane difficulty
Complete all stages on Insane
Complete all challenges on "Makin's Bar" on Insane difficulty
KO 25 thugs using the shotgun
Complete the game with a Good Cop rating on All stages
Complete the game on Insane with a Bad Cop rating on ALL stages